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What is the symmetry of images y = log3x and y = Log1 / 3 (- x)
The image of y = log3x and y = Log1 / 3 (- x) is symmetric with respect to the line y = - X. general conclusion: the image of y = f (x) and y = - f (- x) is symmetric with respect to the line y = - X. (Log1 / 3 (- x) = - log3 (- x))
The line y is equal to minus four thirds plus eight and intersects the x-axis and y-cycle at points a and B respectively. M is a point on the y-axis,
The point B just falls at B 'on the x-axis, and the analytical expression of the straight line am is obtained
Let the origin be o, then the original line let x = 0, y = 8; let y = 0, x = 32 / 3, so the coordinates of point a are (32 / 3,0); the coordinates of point B are (0,8), so it is easy to get the distance of AB as 40 / 3 by using the coordinate formula
Exercise 12. The line y = (4 / 3) x + 4 intersects with X axis and Y axis at two points a and B respectively. M is a point on ob. If the triangle ABM is folded along am and point B just falls at point C on X axis, the analytical expression of line am is?
In short, it is to calculate the coordinates of point M. from the drawing, we can see that △ AOB has three sides, which are 3, 4 and 5 respectively. Since point B falls on the x-axis after folding along am, assuming that the falling point is B, then am is the vertical bisector of △ ABB! If the intersection of BB and am extension line is set as D, it can be proved that △ AOM and △ abd are similar. If OM is equal to 1.5, then the analytical expression of AM is y = 0.5x + 1.5
The construction of a 15000 meter long highway is divided into three engineering teams on average. The workload of the second engineering team is just the remaining workload of the first working team, and the third engineering team has completed 3 / 4 of the workload. How many meters has the highway been built?
The amount of work completed by the second engineering team is exactly the amount of work left by the first engineering team,
Then the first and second engineering teams repaired the tasks assigned by one engineering team
What is the average task assigned to each engineering team
15000 △ 3 = 5000m
The third engineering team repaired it
5000 × 3 / 4 = 3750m
The road has been built
5000 + 3750 = 8750m
It is known that α and β are two unequal real roots of the equation 4x ^ 2-4mx + m + 2 = 0 about X, if α
Weida theorem
αβ=（m+2）/4
α+β=m
Then (α - 1) (β - 1) 2 or m2
To transport a batch of goods, it takes 10 days for team a to transport the goods alone, and 15 days for team B to transport the goods alone. The two teams transport the goods together for 2 days______ (fill in the score)
(110 + 115) × 2, = 16 × 2, = 13
When m is a positive integer, the solution of the equation x - (x-m) / 2 = 2-x / 3 is nonnegative
Plus 20 if it's fast
5x=12-3m≥0
m≤4
So m can be 1,2,3,4
Two piles of coal, the first pile carries 4.4% 3 tons, the second pile carries 2.5% 2 tons, at this time, two is 1.8 tons more than one, how much more is the original pile?
4 and 3 / 4 = 4.75
2 and 2 / 5 = 2.4
The first pile is many
More 4.75-2.4 + 1.8 = 2.35 + 1.8 = 4.15
If the line L and the line x + Y-1 = 0 are symmetric about the Y axis, then the equation of the line L is______ ．
∵ the slope of the line x + Y-1 = 0 is - 1, and it intersects at (0,1) point on the Y axis, and ∵ the line L and the line x + Y-1 = 0 are symmetrical about the Y axis ∵ the slope of the line L is 1, and it passes through (0,1), then the equation of the line L is y = x + 1, that is, X-Y + 1 = 0, so the answer is: X-Y + 1 = 0
There are 90 students in the sixth grade of a school, of which 56 are 4 / 7 boys and 2 / 3 girls. How many boys and girls are there? Use the equation to solve
Male students (90-56 △ 2 / 3) / (1-4 / 7 △ 2 / 3)
=（90-84）÷（1-6/7）
=6÷1/7
=42
Female 90-42 = 48
RELATED INFORMATIONS
- 1. If point m is a point on Y-axis and △ ABM is a right triangle, then the coordinates of point m are
- 2. It is known that the quadratic function f (x) = AX2 - (a + 2) x + 1, a is an integer, and the function f (x) has exactly a zero point on (- 2, - 1). An analytic trial of finding f (x)
- 3. The approximate interval of the square half zeros of the function f (x) = 3x + 2?
- 4. Find the maximum, minimum and corresponding x value of the function y = 3-4cos (2x + π / 3), X ∈ [- π / 3, π / 6]
- 5. Finding the maximum and minimum of the function y = - 4cos & sup2; x-4sinx + 6
- 6. The maximum value of the function y = cosx-4cos (x / 2) is
- 7. When the function y = (sinx-a) is quadratic and SiNx = a, the minimum SiNx = 1 has the range of maximum a (why)
- 8. If we know that the image of the function f (x) = | 2x-1 | has two common points with the line y = a, then the value range of a is______ ．
- 9. Finding the minimum value of function y = 3x + 1 / (2x ^ 2) (x > 0) thank you
- 10. What is the geometric meaning of the extremum and conditional extremum of binary function? If there is no extremum of binary function, is there necessarily unconditional extremum? Give an example There is another problem, the stationary point of binary function is not necessarily the extremum? Find an example
- 11. Given that the image of the function y = x3-3x + C has exactly two common points with the X axis, then C =?
- 12. Let f (x) be continuous in [- B, b], and prove that the definite integral [- B, 0] f (x) DX = the definite integral [0, b] f (- x) DX
- 13. The proof that ∫ (0, x) f (T) DT - ∫ (- x, 0) f (T) DT is a periodic function F (x) is a continuous function with period T on R. it is proved that ∫ (0, x) f (T) DT - ∫ (- x, 0) f (T) DT is also a function with period T
- 14. Let f (x) be continuous on a closed interval [0,1] and 0
- 15. F (x) is even function and symmetric with respect to the straight line x = A. It is proved that f (x) is a periodic function F (x) is an odd function, symmetric with respect to the straight line x = A. It is proved that f (x) is a function with period 4a
- 16. The intersection point of the functions y = SiNx and y = cosx in [0, π / 2] is p, and the area bounded by their two tangent lines at point P and X axis is? Can you do the calculation for me. It's not the same as what I found on the Internet. I do it this way
- 17. Calculate [1] (- A ^ 2) ^ 2x (- 2A ^ 3) ^ 2 [2] (- 2 / 3A ^ 2B ^ 3C) ^ 3x (9 / 2Ab) Calculate [1] (- A ^ 2) ^ 2x (- 2A ^ 3) ^ 2 【2】(-2/3a^2b^3c)^3x(9/2ab^2)^2
- 18. Calculate the value of (a ^ 3-2ab-3a ^ 2b) + (a ^ 3 + 2ab-b ^ 2) - (2a ^ 3-3a ^ 2B + B ^ 3), where a = 1 / 2, y = - 1. Classmate a wrongly wrote a = 1 / 2 as a = - 1 / 2, but his calculation result is also correct. Try to explain the reason and work out this result
- 19. The volume of a cuboid wooden box is 720 cubic meters, with a length of 1.5 meters and a width of 1.2 meters. How high is it? A cuboid glass container, measuring 20 cm in length and width from inside. Put an apple into the container and completely immerse it in water. It is found that 1.3 cm grows on the water surface in the container. What is the volume of the apple?
- 20. There are two resistors to connect them in series. The total resistance is 10 ohm and the parallel resistance is 2.1 ohm. What are the resistance values of these two resistors?